Direct and inverse scattering problems for nonlinear dispersive equations with potential
| Project/Area Number |
22740082
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Chiba University |
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Principal Investigator |
SASAKI Hironobu 千葉大学, 大学院・理学研究科, 准教授 (00568496)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 非線型分散型方程式 / ディラック方程式 / 漸近挙動 / 散乱作用素 / 波動作用素 / ソボレフ空間 / 時間減衰評価 / 線型作用素 / 非線型ディラック方程式 / ストリッカーツ評価 / 重み付ソボレフ空間 / 解の漸近挙動 / 短距離散乱 / 減衰評価 / 非線型シュレディンガー方程式 / 散乱問題 / 逆散乱問題 / 相互作用ポテンシャル |
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| Research Abstract |
In this study, we consider direct and inverse scattering problems for dispersive equations. By using methods of functional analysis, we obtain results for inverse scattering problems for Hartree equations in three space dimensions, direct and inverse scattering problems for the Klein-Gordon equation in quantum field theory and scattering problems for nonlinear Dirac equations in one space dimension.
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Report
(4 results)
Research Products
(13 results)
